The Evaluation of Graphs on Surfaces for State-Sum Models with Defects

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Farnsteiner, Julian, Schweigert, Christoph
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212790
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Evaluation of Graphs on Surfaces for State-Sum Models with Defects. Julian Farnsteiner and Christoph Schweigert. SIGMA 20 (2024), 102, 51 pages

The evaluation of graphs on 2-spheres is a central ingredient of the Turaev-Viro construction of three-dimensional topological field theories. In this article, we introduce a class of graphs, called extruded graphs, relevant to the Turaev-Viro construction with general defect configurations involvin...